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11

Part of 2006 China Second Round Olympiad

Problems(1)

2006 China Second Round Olympiad Test 1 #11

Source:

9/28/2014
Find the number of real solutions to the equation (x2006+1)(1+x2+x4+…+x2004)=2006x2005(x^{2006}+1)(1+x^2+x^4+\ldots +x^{2004})=2006x^{2005}